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Finding the Fourth Proportional to 7,836,702,099.70, 11,002,376,578.70 and 7,836,702,099.70

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Solution

The fourth proportional to 7,836,702,099.70, 11,002,376,578.70 and 7,836,702,099.70 is: 11,002,376,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,702,099.70 : 11,002,376,578.70 = 7,836,702,099.70 : x
  2. Step 2: Convert to fraction form
    7,836,702,099.70/11,002,376,578.70 = 7,836,702,099.70/x
  3. Step 3: Cross multiply
    7,836,702,099.70x = 11,002,376,578.70 × 7,836,702,099.70
  4. Step 4: Simplify right side
    7,836,702,099.70x = 86,222,347,635,988,398,080
  5. Step 5: Solve for x
    x = 86,222,347,635,988,398,080/7,836,702,099.70
  6. Step 6: Final answer
    x = 11,002,376,578.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.